| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
Betty scored 74% on her final exam. If each question was worth 2 points and there were 140 possible points on the exam, how many questions did Betty answer correctly?
| 37 | |
| 39 | |
| 42 | |
| 52 |
Betty scored 74% on the test meaning she earned 74% of the possible points on the test. There were 140 possible points on the test so she earned 140 x 0.74 = 104 points. Each question is worth 2 points so she got \( \frac{104}{2} \) = 52 questions right.
4! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is (c2)3?
| c | |
| 3c2 | |
| c6 | |
| c5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c2)3What is \( \frac{3c^6}{4c^4} \)?
| \(\frac{3}{4}\)c10 | |
| \(\frac{3}{4}\)c2 | |
| \(\frac{3}{4}\)c24 | |
| 1\(\frac{1}{3}\)c2 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{3c^6}{4c^4} \)
\( \frac{3}{4} \) c(6 - 4)
\(\frac{3}{4}\)c2
Damon loaned Christine $100 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $104 | |
| $103 | |
| $105 | |
| $102 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $100
i = 0.05 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $5